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Finding the Third Proportional to 486,241.88 and 713,597.81

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Solution

The third proportional to 486,241.88 and 713,597.81 is: 1,047,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,241.88 : 713,597.81 = 713,597.81 : x
  2. Step 2: Convert to fraction form
    486,241.88/713,597.81 = 713,597.81/x
  3. Step 3: Cross multiply
    486,241.88x = 713,597.81 × 713,597.81
  4. Step 4: Simplify right side
    486,241.88x = 509,221,838,004.79
  5. Step 5: Solve for x
    x = 509,221,838,004.79/486,241.88
  6. Step 6: Final answer
    x = 1,047,260.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.